1. The problem statement, all variables and given/known data Find a fundamental set of real solutions of the system. x'=[-0.5 1 ]x [-1 -0.5] 3. The attempt at a solution I calculated the eigenvalues to be r1 = -0.5+i and r2 = -0.5-i Then, attempting to calculate the eigenvectors, I plugged the numbers into the system [-0.5+0.5-i 1][v1] =  [-1 -0.5+0.5-i ][v2]  which simplifies to be [-i 1] [v1] =  [-1 -i ][v2]  afer matrix multiplication, I get two formulas -1(v1)i+(v2)=0 -1(v1)-(v2)i=0 However, I am at a loss for the next step. Usually when I am finding the eigenvector those two equations will have the same ratio. Please advise.